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X-WR-CALNAME:University of Nebraska-Lincoln
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DTSTART:20220415T210000Z
UID:162558@events.unl.edu
DTSTAMP:20220129T030014Z
ORGANIZER;CN=Christopher Schafhauser:MAILTO:cschafhauser2@unl.edu
SUMMARY:José Carrión\, Texas Christian University
STATUS:CONFIRMED
DESCRIPTION:Rings of bounded operators on Hilbert space were first studied
by Murray and von Neumann in the 1930s. These rings\, now called von Neuma
nn algebras\, arose in part from quantum physics\, and have the flavor of
measure theory. Their topological analogs\, C*-algebras\, were introduced
by Gelfand and Naimark in the 1940s. These operator algebras interact with
each other\, and with many branches of mathematics\; enduring interest in
them is largely due to the fact that they can encode many other mathemati
cal structures\, such as symmetries\, time-evolving systems\, graphs\, num
ber fields\, etcetera.\n\nConnes' Fields Medal-winning work on the structu
re and classification of amenable von Neumann algebras in the 1970s was a
pivotal moment in the theory. Topological (i.e.\, C*-algebraic) analogs of
these breakthroughs have been several decades in the making\, beginning i
n earnest in the early 90s with Elliott's classification program. After a
brief overview of this large-scale\, worldwide endeavor\, I will discuss m
y recent joint work with Gabe\, Schafhauser\, Tikuisis and White leading u
p to a proof of the capstone result in the program\: the classification of
simple regular C*-algebras of finite non-commutative covering dimension (
modulo the universal coefficient theorem).
LOCATION:Avery Hall Room 115
URL://events.unl.edu/2022/04/15/162558/
DTEND:20220415T215000Z
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